5 citations · 11 across the 6 of their papers we have counts for
9 papers
Weyl modules and Weyl functors for Lie superalgebras
Irfan Bagci, Lucas Calixto, Tiago Macedo
Given an algebraically closed field of characteristic zero, a Lie superalgebra over and an associative, commutative -algebra with unit, a…
On representations of Cartan map Lie superalgebras
Irfan Bagci
This paper describes finite dimensionall irreducible representations of both twisted and untwisted Cartan map Lie superalgebras.
On the Structure of a quotient of the global Weyl module for the map superalgebra
Irfan Bagci, Samuel Chamberlin
Let be a commutative, associative algebra with unity over . Using the definition of global Weyl modules for the map superalgebras given by Calixto, Lemay, and Savag…
Integral Bases for the Universal Enveloping Superalgebras of Map Superalgebras II
Irfan Bagci, Samuel Chamberlin
In this paper we define integral forms for the universal enveloping superalgebras of the map superalgebras of Cartan type complex Lie superalgebras, and exhibit explicit integral b…
Integral bases for the universal enveloping algebras of map superalgebras
Irfan Bagci, Samuel Chamberlin
Let be a finite dimensional complex simple classical Lie superalgebra and be a commutative, associative algebra with unity over . In this paper we de…
Whittaker categories and strongly typical Whittaker modules for Lie superalgebras
Irfan Bagci, Konstantina Christodoulopoulou, Emilie Wiesner
Following analogous constructions for Lie algebras, we define Whittaker modules and Whittaker categories for finite-dimensional simple Lie superalgebras. Results include a decompos…
Cohomology and support varieties for Lie superalgebras
Irfan Bagci
Let be a restricted Lie superalgebra over an algebraically closed field of characteristic . Let denote the restricted enveloping…
On cohomology and support varieties for Lie superalgebras
Irfan Bagci
Support varieties for Lie superalgebras over the complex numbers were introduced in \cite{BKN1} using the relative cohomology. In this paper we discuss finite generation of the rel…
Cohomology and Support Varieties for Lie Superalgebras of Type W(n)
Irfan Bagci, Jonathan R. Kujawa, Daniel K. Nakano
Boe, Kujawa and Nakano recently investigated relative cohomology for classical Lie superalgebras and developed a theory of support varieties. The dimensions of these support variet…